The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answers
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]
Related Questions
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
Answers
Explanation: I plotted the points on a graph and calculated the length of AC (20) and A’C’ (30)
The answer should be 30/20 = 1.5
I hope this helps!
Given this circle puzzle what would angle 1-12 be? (Geometry)
Answers
But I think it would be 20
1.
Directions:
Factor each expression.
Then find the roots of each equation.
I found all the factors, but not sure the roots of each equation.
Answers
Answer:
a. – 4 or –3
b. –4 or –2
c. 4 or –3
d. 7 or 4
Step-by-step explanation:
To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.
Now, we shall give the answers to the question.
a. x² + 7x + 12 = 0
x² + 3x + 4x + 12 = 0
Factorise
x(x + 3) + 4(x + 3) = 0
(x + 4)(x + 3) = 0
x + 4 = 0 or x + 3 = 0
x = 0 – 4 or x = 0 – 3
x = – 4 or –3
Therefore, the roots of the equation are – 4 or –3
b. t² + 6t + 8 = 0
t² + 2t + 4t + 8 = 0
Factorise
t(t + 2) + 4(t + 2) = 0
(t + 4)(t + 2) = 0
t + 4 = 0 or t + 2 = 0
t = 0 – 4 or t = 0 – 2
t = –4 or –2
Therefore, the roots of the equation are –4 or –2
c. 2n² – 2n – 24 = 0
Divide through by 2
n² – n – 12 = 0
n² + 3n – 4n – 12 = 0
Factorise
n(n + 3) – 4(n + 3) = 0
(n – 4)(n + 3) = 0
n – 4 = 0 or n + 3 = 0
n = 0 + 4 or n = 0 – 3
n = 4 or n = –3
Therefore, the roots of the equation are 4 or –3
d. y² – 11y + 28 = 0
y² – 4y – 7y + 28 = 0
Factorise
y(y – 4) – 7(y – 4) = 0
(y – 7)(y – 4) = 0
y – 7 = 0 or y – 4 = 0
y = 0 + 7 or y = 0 + 4
y = 7 or 4
Therefore, the roots of the equation are 7 or 4.
00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Answers
Rectangle
Just finished the post test right now.
solve each equation for given variable
- 12 = 6i- 6
Answers
Explanation:
First get the variable by itself. To do that, add six to both sides of the equation. You will have -6 = 6i. Than divide both sides by 6. It will give you i = -1.
-12 + 6 = 6i - 6 + 6
-12 + 6 = 6i
(-12 + 6)/6 = (6i)/6
(-12 + 6)/6 = i
i = (-12 + 6)/6
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answers
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
what is sociallizatioj
Answers
Answer:
Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society
hope it helps you
please mark me as brainlist
Step-by-step explanation:
mixing up and following social norms and values as a member of the society is called socialization.
How do I find the volume of this pyramid
Answers
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
Classify each number according to its value
5.2×10-4
Answers
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
Your supposed to do each half separately and the multiple them to together
Mori just replaced the showerhead in her bathroom. the old one used 5.75 gallons per minute of water. Her new showerhead uses 2.5 gallons per minute. how many times has much water did Mori's old showerhead use?
Answers
Answer:
3.25
Step-by-step explanation:
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answers
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
A strawberry farmer will receive 37 per bushel of strawberries during the first week of harvesting each week after that the value will drop 0.8 per bushel the farmer estimates that there are approxiamately 129 of strawberries int he fieldsand that the crop is increasing at a rate of four bushels per week when should the farmer harvest the strawberries to maximize their value? (Assume that "during the first week of harvesting" here means week 1. How many bushels of strawberries will yield the maximum value? (Round your answer to the nearest integer.)
bushels
2. What is the maximum value of the strawberries? (Round your answer to two decimal places.)
$
Answers
Answer:
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
b.)
Revenue = bx = (157)(31.4) = $ 4929.8
Step-by-step explanation:
Let number of bushes = b
The price of the bushes = x
The time to harvest = t
The revenue = y
Now given,
Price = x = 37 - (0.8)t
and
Number of bushes = b = 129 + 4t
Also,
The revenue = (Number of bushes)(Price of the bushes)
= bx
= (129 + 4t)[37 - (0.8)t]
= 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²
= 4773 - 103.2t + 148t - 3.2t²
= 4773 + 44.8t - 3.2t²
⇒ y = 4773 + 44.8t - 3.2t²
Now,
[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t
Now,
[tex]\frac{dy}{dt}[/tex] = 0
⇒ 44.8 - 6.4t = 0
⇒ - 6.4t = -44.8
⇒ 6.4t = 44.8
⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]
Now,
[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4
As [tex]\frac{d^{2}y }{dt^{2} }[/tex] < 0 ,
It means at time t = 7 , the revenue is maximum
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4
b.)
Revenue = bx = (157)(31.4) = 4929.8
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.
Answers
1 correct answer out of 5 = 1/5
1/5 x 1/5 = 1/25
Please help!
Consider matrices A, B, and C.
Which matrix represents (A-B)-C?
Answers
Answer:
B.) I cant insert a 2x2 matric but the [5 7
7 4] matrix is correct
Step-by-step explanation:
I got a 5/5 on the test so I know that B is the correct answer
The matrix which represents (A-B)-C will be the matrix in option (B).
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
In another word, a matrix is a set of variables that are arranged in such a good way that we can create algebraic equation from that.
In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.
Given that the matrix
A - B = [first raw 3 ,1 in second raw 2 ,0]
Now (A - B) - C = [ first raw 5 ,7 in second raw 7 , 4]
Hence, the correct option is (B).
For more about matrices
https://brainly.com/question/11367104
#SPJ5
Is 3.5 and 3.55 a equivalent decimal?
Answers
Classify the following triangle. Check all that apply.
9.8
120 5.2
200
40°
13.2
O A. equilateral
B. isosceles
C. right
D. acute
E. scalene
F. obtuse
h
Answers
Answer:
E and F
Step-by-step explanation:
✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.
✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.
Answer:
E F
Step-by-step explanation:
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answers
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answers
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes
Answers
Answer:
151/720
Step-by-step explanation:
1 day = 24 hours = 1440 minutes
5 hours 2 minutes = 302 minutes
302/1440 = 151/720
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
Answers
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden
Pls help ASAP I’ll brainlest
Answers
Answer:
b) x= -13
Step-by-step explanation:
Answer:
it's answer is= - 13.175
but it is not in option
so B) - 13
is right
the size of a rectangular photo frame is 12 11/16cm by 8 3/4cm. Which of the following gives the product of these dimensions rounded to the nearest whole number of centimeters
answers
A) 12 cm x 8 cm
B) 12 cm x 9 cm
C) 13 cm x 8 cm
D) 13 cm x 9 cm
Answers
Answer:
D
Step-by-step explanation:
the answer can't be A or C because we know that 8 3/4 rounds to 9
so we have to figure out if 12 11/16 is closer to 12 or 13
anything above 8/16 should round up; therefore, 11/16 should round the 12 to be 13
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answers
Answer:
915'000.+123=915,123
Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Are they a function or not?
Answers
Answer:
A linear function is a straight line and a non-linear function is not a straight line.
Step-by-step explanation:
The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
Answers
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
What is the answer please
Answers
A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?
Answers
Answer:
620 milliliters
Step-by-step explanation:
1 milliliter= 0.001 liters
0.62L= move the decimal point 3 places to the left
0.62
06.2
062.
0620.
620 milliliters
help ill give brainliest 9 − 3z + 4 + 6z − 2 = ______
15 + 9z
11 + 3z
11 + 9z
11 − 3z
15 + 3z
Answers
Answer:
11+3z
Step-by-step explanation:
You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z
Answer:
[B] 11 + 3zExplanation:
9 − 3z + 4 + 6z − 2
Group Like Terms-3z + 6z + 9 + 4 - 2
Add Similar Elements: -3z + 6z = 3z3z + 9 + 4 - 2
Add / Subtract: 9 + 4 - 2 = 113z + 11PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students
Answers
Answer:
its d 31 is 5 less than 36.....
calcular la altura que podemos alcanzar una escalera de 3 metros apoyada sobre ma pared si la parte inferior la situamos a .07 metros de esta.